VITEEE 2018 :: Mathematics :: General questions

• Mathematics - General questions

If the parabol y² = 4ax passes through the point (1, -2), then the tangent at this point is

Answer:

Explanation:

 Since the parabola y² = 4ax passes through the point (1, -2)

.'. (-2)² = 4a(1) =a = 1

Equation of tangent to the parabola at (1, -2) is

yy₁ = 2a(x+x₁) or y(-2) = 2(1)(x + 1) or x + y+ 1 = 0

The number of ways in which 3 prizes can be distributed to 4 children, so that no child gets all the three prizes, are

Answer:

Explanation:

Each of the three prizes can be given to any of the four children.

.'. Total number of ways of distributing prizes = 4 x 4 x 4 = 64

Number of ways in which one child gets all prizes = 4

 Number of ways in which no child gets all the three prizes = 64 - 4 = 60

The connective in the statement  : "2+7> 9 or 2+7<9" is

Answer:

Explanation:

Connective word is 'or'

If $12 \cot^{2}\theta - 31Cosec \theta + 32 = 0$, then the value of Sinθ is

Answer:

Explanation:

$12 \cot^{2}\theta - 31Cosec \theta + 32 = 0$

$\Rightarrow 12\left(cosec^{2}\theta-1\right)- 31Cosec \theta+32=0$

$\Rightarrow 12 cosec^{2}\theta- 31Cosec \theta+20=0$

$\Rightarrow 12 cosec^{2}\theta- 16Cosec \theta - 15 cosec\theta+20=0$

$(4 cosec\theta - 5)(3 cosec\theta-4)= 0$

$Cosec\theta = 5/4,4/3 \therefore \sin\theta = 4/5,3/4$

• Mathematics - General questions